Finding the Third Proportional to 40,259 and 87,454.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,259 : 87,454.50 = 87,454.50 : x
2. Step 2: Convert to fraction form
   40,259/87,454.50 = 87,454.50/x
3. Step 3: Cross multiply
   40,259x = 87,454.50 × 87,454.50
4. Step 4: Simplify right side
   40,259x = 7,648,289,570.25
5. Step 5: Solve for x
   x = 7,648,289,570.25/40,259
6. Step 6: Final answer
   x = 189,977.14